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Finding the Third Proportional to 273,910.50 and 591,561

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Solution

The third proportional to 273,910.50 and 591,561 is: 1,277,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,910.50 : 591,561 = 591,561 : x
  2. Step 2: Convert to fraction form
    273,910.50/591,561 = 591,561/x
  3. Step 3: Cross multiply
    273,910.50x = 591,561 × 591,561
  4. Step 4: Simplify right side
    273,910.50x = 349,944,416,721
  5. Step 5: Solve for x
    x = 349,944,416,721/273,910.50
  6. Step 6: Final answer
    x = 1,277,586.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.